λ
Prime Ledger

7,640,188

22 × 1910047
Deficient Even Composite

7,640,188 has the prime decomposition 2^2 × 1910047. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1910047
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 13,370,336
Proper Divisor Sum 5,730,148
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7640183 ← → #7640219

Radix Representation

Decimal 7640188
Binary 11101001001010001111100 (23 bits)
Octal 0o35112174
Hexadecimal 0x74947C

Divisor Catalog (6)

1 2 4 1,910,047 3,820,094 7,640,188

Collatz Trajectory (248 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,640,188 3,820,094 1,910,047 5,730,142 2,865,071 8,595,214 4,297,607 12,892,822 6,446,411 19,339,234 9,669,617 29,008,852 14,504,426 7,252,213 21,756,640 10,878,320 5,439,160 2,719,580 1,359,790 679,895 2,039,686 1,019,843 3,059,530 1,529,765 4,589,296 2,294,648 1,147,324 573,662 286,831 860,494 430,247 1,290,742 645,371 1,936,114 968,057 2,904,172 1,452,086 726,043 2,178,130 1,089,065 3,267,196 1,633,598 816,799 2,450,398 1,225,199 3,675,598 1,837,799 5,513,398 2,756,699 8,270,098 4,135,049 12,405,148 6,202,574 3,101,287 9,303,862 4,651,931 13,955,794 6,977,897 20,933,692 10,466,846

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